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Finding the Fourth Proportional to 52,642.53, 78,957.98 and 13,199.64

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Solution

The fourth proportional to 52,642.53, 78,957.98 and 13,199.64 is: 19,798.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,642.53 : 78,957.98 = 13,199.64 : x
  2. Step 2: Convert to fraction form
    52,642.53/78,957.98 = 13,199.64/x
  3. Step 3: Cross multiply
    52,642.53x = 78,957.98 × 13,199.64
  4. Step 4: Simplify right side
    52,642.53x = 1,042,216,450.34
  5. Step 5: Solve for x
    x = 1,042,216,450.34/52,642.53
  6. Step 6: Final answer
    x = 19,798.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.